Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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        <div xml:id="echoid-div288" type="section" level="1" n="95">
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            <s xml:id="echoid-s1825" xml:space="preserve">
              <pb o="38" file="0076" n="80" rhead="PHYSICES ELEMENTA"/>
            eòque hoc ſuſtinent, propter æqualitatem inter potentias
              <lb/>
            & </s>
            <s xml:id="echoid-s1826" xml:space="preserve">pondus.</s>
            <s xml:id="echoid-s1827" xml:space="preserve"/>
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        </div>
        <div xml:id="echoid-div292" type="section" level="1" n="96">
          <head xml:id="echoid-head146" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          5.</head>
          <p>
            <s xml:id="echoid-s1828" xml:space="preserve">Confirmatur propſitio hæc Experimento in Fig. </s>
            <s xml:id="echoid-s1829" xml:space="preserve">4. </s>
            <s xml:id="echoid-s1830" xml:space="preserve">de-
              <lb/>
              <note position="left" xlink:label="note-0076-01" xlink:href="note-0076-01a" xml:space="preserve">181.</note>
            lineato, quod ulteriori explicatione non indiget.</s>
            <s xml:id="echoid-s1831" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">TAB V.
            <lb/>
          fig. 4.</note>
        </div>
        <div xml:id="echoid-div294" type="section" level="1" n="97">
          <head xml:id="echoid-head147" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          6.</head>
          <p style="it">
            <s xml:id="echoid-s1832" xml:space="preserve">Quando unâ potentiâ duo pondera ſuſtinenda ſunt, potentiam
              <lb/>
              <note position="left" xlink:label="note-0076-03" xlink:href="note-0076-03a" xml:space="preserve">182.</note>
            inter pondera poni neceſſe eſt, & </s>
            <s xml:id="echoid-s1833" xml:space="preserve">tunc quæ ſtatim de duabus
              <lb/>
              <note position="left" xlink:label="note-0076-04" xlink:href="note-0076-04a" xml:space="preserve">TAB. VI.
                <lb/>
              fig. 1.</note>
            potentiis dicta ſunt, ad pondera applicari debent. </s>
            <s xml:id="echoid-s1834" xml:space="preserve">Ponde-
              <lb/>
            ra enim ſuſtineri non poſſunt, niſi horum commune cen-
              <lb/>
            trum gravitatis ſuſtineatur.</s>
            <s xml:id="echoid-s1835" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">147.</note>
          <p>
            <s xml:id="echoid-s1836" xml:space="preserve">Plurima pondera ſæpe unâ, aut plurimis potentiis, ſuſti-
              <lb/>
            nentur aut vehuntur. </s>
            <s xml:id="echoid-s1837" xml:space="preserve">Circa quod notandum, omnia pon-
              <lb/>
              <note position="left" xlink:label="note-0076-06" xlink:href="note-0076-06a" xml:space="preserve">183.</note>
            dera, babere commune centrum gravitatis; </s>
            <s xml:id="echoid-s1838" xml:space="preserve">quod centrum
              <lb/>
            tale eſt, ut ſi ab utraque parte unumquodque pondus mul-
              <lb/>
            tiplicetur per ſuam diſtantiam ab iſto puncto, ſumma produ-
              <lb/>
            ctorum ab utraque parte ſit eadem .</s>
            <s xml:id="echoid-s1839" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0076-07" xlink:href="note-0076-07a" xml:space="preserve">143. 141.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s1840" xml:space="preserve">Potentiæ etiam utcunque diſpoſitæ commune babent gravi-
              <lb/>
            tatis centrum; </s>
            <s xml:id="echoid-s1841" xml:space="preserve">poſſunt enim per pondera repræſentari
              <note symbol="*" position="left" xlink:label="note-0076-08" xlink:href="note-0076-08a" xml:space="preserve">117.</note>
            & </s>
            <s xml:id="echoid-s1842" xml:space="preserve">hìc intenſitas uniuſcujuſque potentiæ perſuam diſtantiam à
              <lb/>
            centro multiplicari debet, & </s>
            <s xml:id="echoid-s1843" xml:space="preserve">ſummæ productorum tunc
              <lb/>
            erunt ab utraque parte æquales.</s>
            <s xml:id="echoid-s1844" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1845" xml:space="preserve">Vt potentiæ ad pondera ſuſtinenda valeant, requiritur po-
              <lb/>
            tentiarum & </s>
            <s xml:id="echoid-s1846" xml:space="preserve">ponderum idem eſſe gravitatis centrum. </s>
            <s xml:id="echoid-s1847" xml:space="preserve">Tunc
              <lb/>
            omnium ponderum, omniumque potentiarum, vires in u-
              <lb/>
            num & </s>
            <s xml:id="echoid-s1848" xml:space="preserve">idem punctum reducuntur, quod viribus æqualibus
              <lb/>
            ſurſum & </s>
            <s xml:id="echoid-s1849" xml:space="preserve">deorſum trahitur, ideoque ſuſtinetur.</s>
            <s xml:id="echoid-s1850" xml:space="preserve"/>
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        </div>
        <div xml:id="echoid-div298" type="section" level="1" n="98">
          <head xml:id="echoid-head148" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          7. & 8.</head>
          <p>
            <s xml:id="echoid-s1851" xml:space="preserve">Ex dictis explicatio figurarum ſatis patet, in quibus C de-
              <lb/>
              <note position="left" xlink:label="note-0076-09" xlink:href="note-0076-09a" xml:space="preserve">184.</note>
            notat centrum gravitatis & </s>
            <s xml:id="echoid-s1852" xml:space="preserve">ponderum & </s>
            <s xml:id="echoid-s1853" xml:space="preserve">potentiarum.</s>
            <s xml:id="echoid-s1854" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">TAB. VI.
            <lb/>
          fig. 2. & 3.</note>
        </div>
        <div xml:id="echoid-div300" type="section" level="1" n="99">
          <head xml:id="echoid-head149" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          9</head>
          <p>
            <s xml:id="echoid-s1855" xml:space="preserve">Prædicta etiam locum habent, ſi vectis ab utraque parte
              <lb/>
              <note position="left" xlink:label="note-0076-11" xlink:href="note-0076-11a" xml:space="preserve">185.</note>
            à potentiis trahatur; </s>
            <s xml:id="echoid-s1856" xml:space="preserve">quod videmus in vecte, qui ab utra-
              <lb/>
              <note position="left" xlink:label="note-0076-12" xlink:href="note-0076-12a" xml:space="preserve">TAB. VI.
                <lb/>
              fig 4.</note>
            que parte horizontaliter trahitur, in quo æquilibrium non
              <lb/>
            datur niſi in caſu memoratarum regularum.</s>
            <s xml:id="echoid-s1857" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1858" xml:space="preserve">Circa octo prima hujus cap. </s>
            <s xml:id="echoid-s1859" xml:space="preserve">Exp. </s>
            <s xml:id="echoid-s1860" xml:space="preserve">notandum, vectes ipſos
              <lb/>
            ſuſtineri debere.</s>
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